NCERT Solutions

Find the area of a sector of a circle with radius 6 cm if angle of the sector is $60^{\circ}$.

Find the area of a quadrant of a circle whose circumference is 22 cm .

The length of the minute hand of a clock is 14 cm . Find the area swept by the minute hand in 5 minutes.

A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding: (i) minor segment (ii) major sector. (Use $\pi = 3.14$ )

A chord of a circle of radius 15 cm subtends an angle of $60^{\circ}$ at the centre. Find the areas of the corresponding minor and major segments of the circle. (Use $\pi = 3.14$ and $\sqrt{3} = 1.73$ )

A chord of a circle of radius 12 cm subtends an angle of $120^{\circ}$ at the centre. Find the area of the corresponding segment of the circle. (Use $\pi = 3.14$ and $\sqrt{3} = 1.73$ )

An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm , find the area between the two consecutive ribs of the umbrella.

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of $115^{\circ}$. Find the total area cleaned at each sweep of the blades.

To warn ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $80^{\circ}$ to a distance of 16.5 km . Find the area of the sea over which the ships are warned. (Use $\pi = 3.14$ )

A round table cover has six equal designs. If the radius of the cover is 28 cm , find the cost of making the designs at the rate of ₹ 0.35 per $\mathrm{cm}^{2}$. (Use $\sqrt{3} = 1.7$ )